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楼主 |
发表于 2024-2-28 15:32:00
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先立4根标杆(无限数串, 极限性价比(数码和: 数位)=33:4), 慢慢再来找更好的性价比。
标配11位数。11位数性价比=088/11, 15位数性价比=121/15, 19位数性价比=154/15, ......
标配12位数。12位数性价比=082/12, 16位数性价比=115/16, 20位数性价比=148/16, ......
标配13位数。13位数性价比=094/13, 17位数性价比=127/17, 21位数性价比=160/17, ......
标配14位数。14位数性价比=106/14, 18位数性价比=139/11, 22位数性价比=172/11, ......
- 标配11位数。Table[k = 3*10^(2 n - 1) - (5*10^n + 19)/3; {k, k^2}, {n, 3, 20}] // TableForm
复制代码
{"298327", "88998998929"},
{"29983327", "898999897988929"},
{"2999833327", "8998999989779888929"},
{"299998333327", "89998999998977798888929"},
{"29999983333327", "899998999999897777988888929"},
{"2999999833333327", "8999998999999989777779888888929"},
{"299999998333333327", "89999998999999998977777798888888929"},
{"29999999983333333327", "899999998999999999897777777988888888929"}
- Table[(33 n + 55)/(4 n + 7), {n, 20}]
复制代码
{8, 121/15, 154/19, 187/23, 220/27, 253/31, 286/35, 319/39, 352/43, 385/47, 418/51, 41/5, 484/59, 517/63, 550/67, 583/71, 616/75, 649/79, 682/83, 715/87}
- 标配12位数。Table[k = 6*10^(2 n + 1) - (5*10^n + 1)/3; {k, k^2}, {n, 0, 10}] // TableForm
复制代码
{"58", "3364"},
{"5983", "35796289"},
{"599833", "359799627889"},
{"59998333", "3599799962778889"},
{"5999983333", "35999799996277788889"},
{"599999833333", "359999799999627777888889"},
{"59999998333333", "3599999799999962777778888889"},
{"5999999983333333", "35999999799999996277777788888889"},
{"599999999833333333", "359999999799999999627777777888888889"},
{"59999999998333333333", "3599999999799999999962777777778888888889"},
{"5999999999983333333333", "35999999999799999999996277777777788888888889"}
- Table[(33 n - 17)/(4 n), {n, 20}]
复制代码
{4, 49/8, 41/6, 115/16, 37/5, 181/24, 107/14, 247/32, 70/9, 313/40, 173/22, 379/48, 103/13, 445/56, 239/30, 511/64, 8, 577/72, 305/38, 643/80}
- Table[标配13位数。k = 3 100^n - (5*10^(n - 1) + 1)/3; {k, k^2}, {n, 10}] // TableForm
复制代码
{"298", "88804"},
{"29983", "898980289"},
{"2999833", "8998998027889"},
{"299998333", "89998999802778889"},
{"29999983333", "899998999980277788889"},
{"2999999833333", "8999998999998027777888889"},
{"299999998333333", "89999998999999802777778888889"},
{"29999999983333333", "899999998999999980277777788888889"},
{"2999999999833333333", "8999999998999999998027777777888888889"},
{"299999999998333333333", "89999999998999999999802777777778888888889"}
- Table[(33 n - 5)/(4 n + 1), {n, 20}]
复制代码
{28/5, 61/9, 94/13, 127/17, 160/21, 193/25, 226/29, 259/33, 292/37, 325/41, 358/45, 391/49, 8, 457/57, 490/61, 523/65, 556/69, 589/73, 622/77, 655/81}
- 标配14位数。Table[k = 6*100^n - (5*10^n + 1)/3; {k, k^2}, {n, 10}] // TableForm
复制代码
{"583", "339889"},
{"59833", "3579987889"},
{"5998333", "35979998778889"},
{"599983333", "359979999877788889"},
{"59999833333", "3599979999987777888889"},
{"5999998333333", "35999979999998777778888889"},
{"599999983333333", "359999979999999877777788888889"},
{"59999999833333333", "3599999979999999987777777888888889"},
{"5999999998333333333", "35999999979999999998777777778888888889"},
{"599999999983333333333", "359999999979999999999877777777788888888889"}
- Table[(33 n + 7)/(4 n + 2), {n, 20}]
复制代码
{20/3, 73/10, 53/7, 139/18, 86/11, 205/26, 119/15, 271/34, 8, 337/42, 185/23, 403/50, 218/27, 469/58, 251/31, 535/66, 284/35, 601/74, 317/39, 667/82} |
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